🔵11b – Homogeneous First Order Differential Equations (Solved Examples 4-5)

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Mathematics

In this video, we shall study homogeneous differential equations and solve a couple of them
A differential equation of the form M(x,y)dx + N(x,y)dy is said to be homogeneous if the functions M and N are homogeneous functions of the same degree.
Alternatively a differential equation of the form
dy/dx = F(x,y) is said to be homogeneous if the function F(x,y)
is homogeneous of degree 0.
Homogeneous differential equations are not of variable separable type but can be made separable by plugging in two equations;
1. y = vx
2. dy/dx = v + xdv/dx

After substitution the differential equations becomes separable

In this lesson we shall solve two major examples

00:00 – Ex4
16:17 – Ex5

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